1375096800 has 432 divisors, whose sum is σ = 5685386112. Its totient is φ = 285465600.

The previous prime is 1375096781. The next prime is 1375096817. The reversal of 1375096800 is 86905731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1293069 + ... + 1294131.

It is an arithmetic number, because the mean of its divisors is an integer number (13160616).

Almost surely, 2^1375096800 is an apocalyptic number.

1375096800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1375096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842693056).

1375096800 is an abundant number, since it is smaller than the sum of its proper divisors (4310289312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1375096800 is a wasteful number, since it uses less digits than its factorization.

1375096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 1375096800 is about 37082.2976634404. The cubic root of 1375096800 is about 1112.0161393721.

It can be divided in two parts, 13750 and 96800, that multiplied together give a cube (1331000000 = 1100³).

The spelling of 1375096800 in words is "one billion, three hundred seventy-five million, ninety-six thousand, eight hundred".